Option 4 : 11.11% profit

Making of Constitution I

61123

15 Questions
15 Marks
9 Mins

Given:

The selling price of 27 pens = cost price of 30 pens

Formula used:

Profit % = (selling price - cost price)/(cost price) × 100

Calculations:

Let the cost price of 1 pen be a

Cost price of 30 pens = 30a

According to the question

⇒ 27 × SP = 30a

⇒ SP = (10/9)a

Substituting the values in the formula

Profit% \(= \frac{{(10/9)a - a}}{a} × 100\% = \frac{{(1/9)a}}{a} × 100\%\)

Profit% = 1/9 × 100 = 11.11%

∴ The profit % will be 11.11%

__Shortcut Trick__

Short Trick∶

Cost price of 27 pens = 27a

Selling price of 27 pens = Cost price of 30 pens = 30a

Gain percentage = {(30a – 27a)/27a} × 100 = 100/9 = **11.11%**